478158460416 has 640 divisors, whose sum is σ = 1754387712000. Its totient is φ = 125212262400.

The previous prime is 478158460399. The next prime is 478158460427. The reversal of 478158460416 is 614064851874.

478158460416 is a `hidden beast` number, since 4 + 7 + 8 + 15 + 8 + 4 + 604 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187438341 + ... + 187440891.

It is an arithmetic number, because the mean of its divisors is an integer number (2741230800).

Almost surely, 2^478158460416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478158460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877193856000).

478158460416 is an abundant number, since it is smaller than the sum of its proper divisors (1276229251584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478158460416 is a wasteful number, since it uses less digits than its factorization.

478158460416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 478158460416 in words is "four hundred seventy-eight billion, one hundred fifty-eight million, four hundred sixty thousand, four hundred sixteen".